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Finding the Third Proportional to 593,322 and 1,314,768

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Solution

The third proportional to 593,322 and 1,314,768 is: 2,913,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,322 : 1,314,768 = 1,314,768 : x
  2. Step 2: Convert to fraction form
    593,322/1,314,768 = 1,314,768/x
  3. Step 3: Cross multiply
    593,322x = 1,314,768 × 1,314,768
  4. Step 4: Simplify right side
    593,322x = 1,728,614,893,824
  5. Step 5: Solve for x
    x = 1,728,614,893,824/593,322
  6. Step 6: Final answer
    x = 2,913,451.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.